128144640 has 288 divisors, whose sum is σ = 469760256. Its totient is φ = 29491200.

The previous prime is 128144633. The next prime is 128144647. The reversal of 128144640 is 46441821.

It is an interprime number because it is at equal distance from previous prime (128144633) and next prime (128144647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 128144598 and 128144607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128144647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848565 + ... + 848715.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 2^128144640 is an apocalyptic number.

128144640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234880128).

128144640 is an abundant number, since it is smaller than the sum of its proper divisors (341615616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128144640 is a wasteful number, since it uses less digits than its factorization.

128144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 128144640 is about 11320.0989394970. The cubic root of 128144640 is about 504.1581766057.

The spelling of 128144640 in words is "one hundred twenty-eight million, one hundred forty-four thousand, six hundred forty".